Some diamonds appear yellow because they contain nitrogen, compounds that absorb purple light frequency 8.45×10¹⁰Hz calculate the wavelength in (nm and pm) of the absorbed

Answer 1

To calculate the wavelength of the absorbed light, we can use the equation:

wavelength = speed of light / frequency

Given:
Frequency of absorbed light = 8.45×10¹⁰ Hz

Speed of light (c) = 3×10^8 m/s

First, let's calculate the wavelength in nm (nanometers):

wavelength (in nm) = (speed of light / frequency) * 10⁹
wavelength (in nm) = (3×10⁸ m/s / 8.45×10¹⁰ Hz) * 10⁹
wavelength (in nm) = (3 × 10⁷ / 8.45) nm
wavelength (in nm) ≈ 3.554 nm

Now, let's convert the wavelength to pm (picometers):

wavelength (in pm) = wavelength (in nm) * 10³
wavelength (in pm) ≈ 3.554 nm * 10³
wavelength (in pm) ≈ 3554 pm

Therefore, the absorbed wavelength is approximately 3.554 nm (nanometers) and 3554 pm (picometers).